Title :
Quantum stochastic Weyl operators
Author :
Accardi, Luigi ; Boukas, Andreas
Author_Institution :
Centro Vito Volterra, Universita di Roma TorVergata, Italy
Abstract :
The quantum stochastic differential equation satisfied by the unitary operator U(t) = eiE(t) with E(t) = λt + z Bt- + z~ Bt+ + k Mt, where Bt-, Bt+, and Mt are the square of white noise processes, is obtained in the module form.
Keywords :
Hilbert spaces; Lie algebras; mathematical operators; nonlinear differential equations; quantum noise; stochastic processes; white noise; Hilbert space; Lie algebra; oscillator algebra; quantum noise; quantum stochastic Weyl operators; quantum stochastic differential equation; unitary operator; universal enveloping algebra; white noise processes; Algebra; Differential equations; Hilbert space; Integrated circuit noise; Oscillators; Quantum mechanics; Stochastic processes; Stochastic resonance; Tensile stress; White noise;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237005
